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What is the value of y?

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Director
Director
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Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
Posts: 562
Location: United Kingdom
Concentration: International Business, Strategy
GMAT Date: 06-22-2012
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 13

Kudos [?]: 524 [0], given: 217

What is the value of y? [#permalink] New post 02 Nov 2011, 12:11
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

25% (00:00) correct 75% (02:16) wrong based on 4 sessions
What is the value of y?

(1) 3|x^2 - 4| = y - 2
(2) |3 - y| = 11
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610 :-(

1 KUDOS received
Intern
Intern
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Joined: 01 May 2011
Posts: 10
Followers: 0

Kudos [?]: 1 [1] , given: 1

Re: What is the value of y? [#permalink] New post 02 Nov 2011, 13:37
1
This post received
KUDOS
from 2nd we got 2 roots: -8 or 14, check this roots with 1st statement we see that 3|x^2-4| can't be negative, so -8 is out. 14 is left and it's the only choice left.
Director
Director
avatar
Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
Posts: 562
Location: United Kingdom
Concentration: International Business, Strategy
GMAT Date: 06-22-2012
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 13

Kudos [?]: 524 [0], given: 217

Re: What is the value of y? [#permalink] New post 02 Nov 2011, 14:03
Thanks aaaqqq222. Much appreciated.
_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610 :-(

Senior Manager
Senior Manager
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Joined: 18 Sep 2009
Posts: 373
Followers: 3

Kudos [?]: 92 [0], given: 2

Re: What is the value of y? [#permalink] New post 03 Nov 2011, 08:35
can somebody explain the question in detail. I understand the stmnt(2).
I solved stmnt (i) like this

3(x.x-4)=y-2
3x.x -12 =y-2
y=3x.x -10

by assigining "-" to absolute value

-3x.x +14=y
when equal 2 equations
14=-10.
Manager
Manager
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Joined: 06 Feb 2011
Posts: 84
GMAT 1: Q V
GMAT 2: Q V
GMAT 3: Q V
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 8 [0], given: 11

Re: What is the value of y? [#permalink] New post 03 Nov 2011, 11:20
Here is my take, can the experts confirm please if my approach is correct ?

1. 3|x^2-4|= y-2 gives us 2 values if we open the modulus, for the 2 values y = 3x^2 -10 and y = 14 – 3x^2. NOT SUFFICIENT.

2. |3-y|=11, gives y = -8, 14 if we open the modulus. NOT SUFFICIENT.

Combining 1 and 2. if we put the values y = -8, 14 in 3|x^2-4|= y-2,
If y = -8, 3|x^2-4|= -10, not possible as
If y = 14, 3|x^2-4|= 12, Only possible value.

Hence Ans is C.
Re: What is the value of y?   [#permalink] 03 Nov 2011, 11:20
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